https://doi.org/10.1140/epjp/s13360-024-05218-8
Regular Article
Dynamic and static dipole polarizability of an Aharonov–Bohm ring
Department of Materials and Production, Aalborg University, 9220, Aalborg Øst, Denmark
Received:
27
February
2024
Accepted:
26
April
2024
Published online:
5
June
2024
The properties of nanoscale rings are sensitive to Aharonov–Bohm fluxes threading the ring. In particular, neighboring angular momentum eigenstates become degenerate in cases of half-integer flux. Such degeneracies have a profound effect on the dipole polarizability leading to a divergent response. We analyze circular finite-width nanorings and derive a simple and compact expression for the polarizability valid for arbitrary ring geometry, frequency and magnetic flux. The dipole response is significantly reduced by finite-width effects, yet divergencies at half-integer flux are predicted irrespective of width. Finally, a non-divergent (but large) response is restored through a non-perturbative treatment of both magnetic and electric fields.
© The Author(s) 2024
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